A class of facility location model and its application

In the logistics system, the facility location problem, which can be used to determine the mode, the structure and the form of the whole logistics system, is a very important decision problem in the logistics network. Often uncertainty may be associated with demand, supply or various relevant costs. In some cases, roughness and fuzziness simultaneously appear in a system, in order to describe this phenomena, we introduce the concept of hybrid variable and propose a mixed integer programming model for rough fuzzy facilities location problem.